10427940 has 120 divisors (see below), whose sum is σ = 33724152. Its totient is φ = 2695680.

The previous prime is 10427933. The next prime is 10427957. The reversal of 10427940 is 4972401.

It is a happy number.

10427940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 10381284 = 216^2 + 3222^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66342 + ... + 66498.

Almost surely, 2^10427940 is an apocalyptic number.

10427940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10427940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16862076).

10427940 is an abundant number, since it is smaller than the sum of its proper divisors (23296212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10427940 is a wasteful number, since it uses less digits than its factorization.

10427940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10427940 is about 3229.2321068638. The cubic root of 10427940 is about 218.4738730898.

The spelling of 10427940 in words is "ten million, four hundred twenty-seven thousand, nine hundred forty".